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arXiv · 2402.07078

Quantum Pair State Transfer on Isomorphic Branches

Hiranmoy Pal·Sarojini Mohapatra
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Abstract

The evolution of certain pair state in a quantum network with isomorphic branches, governed by the Heisenberg $XY$ Hamiltonian, depends solely on the local structure, and it remains unaffected even if the global structure is altered. All graphs which enable high-fidelity vertex state transfer can be considered as isomorphic branches of a quantum network to exhibit high-fidelity pair state transfer. The results are used to unveil the existence of pair state transfer in various graphs, including paths, cycles, and others.

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Hiranmoy Pal, Sarojini Mohapatra. 2024-02-11. Quantum Pair State Transfer on Isomorphic Branches. https://arxiv.org/abs/2402.07078

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